434122416 has 280 divisors, whose sum is σ = 1555907360. Its totient is φ = 114213888.

The previous prime is 434122411. The next prime is 434122477. The reversal of 434122416 is 614221434.

434122416 = 360³ + 361³ + ... + 368³.

It is a happy number.

434122416 is a `hidden beast` number, since 4 + 3 + 412 + 241 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 434122416.

It is not an unprimeable number, because it can be changed into a prime (434122411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1061220 + ... + 1061628.

It is an arithmetic number, because the mean of its divisors is an integer number (5556812).

Almost surely, 2^434122416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434122416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777953680).

434122416 is an abundant number, since it is smaller than the sum of its proper divisors (1121784944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434122416 is a wasteful number, since it uses less digits than its factorization.

434122416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 434122416 is about 20835.6045268670. The cubic root of 434122416 is about 757.1886064475.

The spelling of 434122416 in words is "four hundred thirty-four million, one hundred twenty-two thousand, four hundred sixteen".